235872000 has 720 divisors, whose sum is σ = 1080311232. Its totient is φ = 49766400.

The previous prime is 235871989. The next prime is 235872017. The reversal of 235872000 is 278532.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143994 + ... + 18144006.

Almost surely, 2^235872000 is an apocalyptic number.

235872000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540155616).

235872000 is an abundant number, since it is smaller than the sum of its proper divisors (844439232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235872000 is an equidigital number, since it uses as much as digits as its factorization.

235872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 235872000 is about 15358.1248855451. The cubic root of 235872000 is about 617.8629161493.

The spelling of 235872000 in words is "two hundred thirty-five million, eight hundred seventy-two thousand".